λ
Ratio Atlas

9,735,208

23 × 7 × 263 × 661
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 263 × 661
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,972,160
Proper Divisor Sum 11,236,952
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9735197 ← → #9735217

Radix Representation

Decimal 9735208
Binary 100101001000110000101000 (24 bits)
Octal 0o45106050
Hexadecimal 0x948C28

Divisor Catalog (32)

Collatz Trajectory (163 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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